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Finding the Fourth Proportional to 302,814.80, 454,222.20 and 184,425.20

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Solution

The fourth proportional to 302,814.80, 454,222.20 and 184,425.20 is: 276,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,814.80 : 454,222.20 = 184,425.20 : x
  2. Step 2: Convert to fraction form
    302,814.80/454,222.20 = 184,425.20/x
  3. Step 3: Cross multiply
    302,814.80x = 454,222.20 × 184,425.20
  4. Step 4: Simplify right side
    302,814.80x = 83,770,020,079.44
  5. Step 5: Solve for x
    x = 83,770,020,079.44/302,814.80
  6. Step 6: Final answer
    x = 276,637.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.